A scatter plot is shown below: Which two ordered pairs can be joined to draw most accurately the line of best fit on this scatte
r plot? (1 point) (4, 9.5) and (10, 5.5) (5, 0) and (10, 10) (0, 6) and (5, 0) (0, 9.5) and (10, 1.5)
1 answer:
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Answer:
The value of a = 14
Step-by-step explanation:
Given
(x₁, y₁) = (2, 4)
(x₂, y₂) = (6, a)
(x₃, y₃) = (-1, 1)
A = 9 sq.units
Area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃) is:
substituting the values (x₁, y₁) = (2, 4), (x₂, y₂) = (6, a), (x₃, y₃) = (-1, 1), A = 9 in th formula
Multiply both sides by 2
simplify
As the area is always positive.
so
Add 18 to both sides
simplify
Divide both sides by 3
Thus, the value of a = 14